Fermionic SPT phases in higher dimensions and bosonization

Kapustin, Anton and Thorngren, Ryan (2017) Fermionic SPT phases in higher dimensions and bosonization. Journal of High Energy Physics, 2017 (10). Art. No. 080. ISSN 1126-6708. doi:10.1007/JHEP10(2017)080. https://resolver.caltech.edu/CaltechAUTHORS:20170612-103422222

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Abstract

We discuss bosonization and Fermionic Short-Range-Entangled (FSRE) phases of matter in one, two, and three spatial dimensions, emphasizing the physical meaning of the cohomological parameters which label such phases and the connection with higher-form symmetries. We propose a classification scheme for fermionic SPT phases in three spatial dimensions with an arbitrary finite point symmetry G. It generalizes the supercohomology of Gu and Wen. We argue that the most general such phase can be obtained from a bosonic “shadow” by condensing both fermionic particles and strings.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1007/JHEP10(2017)080	DOI	Article
https://link.springer.com/article/10.1007%2FJHEP10%282017%29080	Publisher	Article
https://arxiv.org/abs/1701.08264	arXiv	Discussion Paper

ORCID:

Author	ORCID
Kapustin, Anton	0000-0003-3903-5158
Thorngren, Ryan	0000-0001-9433-3399

Additional Information:

© 2017 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: April 12, 2017; Accepted: September 28, 2017; Published: October 11, 2017. A. K. would like to thank Greg Brumfiel, John Morgan and Anibal Medina for communicating to him some of their unpublished results. R. T. would like to thank Dominic Williamson, Dave Aasen, and Ethan Lake for many enlightening discussions. This paper was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. The work of A. K. was also supported by the Simons Investigator Award. R. T. is supported by an NSF GRFP grant. A. K. and R. T. are grateful to KITP, Santa Barbara, for hospitality during the initial stages of this project.

Group:

Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
Department of Energy (DOE)	DE-SC0011632
Simons Foundation	UNSPECIFIED
NSF Graduate Research Fellowship	UNSPECIFIED

Subject Keywords:

Anomalies in Field and String Theories; Effective Field Theories; Topological Field Theories; Topological States of Matter

Issue or Number:

DOI:

10.1007/JHEP10(2017)080

Record Number:

CaltechAUTHORS:20170612-103422222

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20170612-103422222

Official Citation:

Kapustin, A. & Thorngren, R. J. High Energ. Phys. (2017) 2017: 80. https://doi.org/10.1007/JHEP10(2017)080

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

78101

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

12 Jun 2017 18:23

Last Modified:

15 Nov 2021 17:36

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